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3 years ago

Determine the area of a square with side length 2√7 in.

Mathematics

1 answer:

Ainat [17]3 years ago

3 0

Answer:

28 inch

Step-by-step explanation:

The length of all four sides of square is equal.

The formula used for finding the area of square is:

Area = (Length) × (Length)

Thus, the Area of square whose length is 2√7 is:

Area = 2√7 × 2√7

⇒ Area = 4 × 7 = 28 inch.

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3 years ago

Find the x- and y-intercept of the line. -7/5x -4y = 7 A. x -intercept is -7/4; y-intercept is 5 B. x -intercept is 5; y-interce

DochEvi [55]

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The relationship between the number of $4 lunches you buy with $100 lunch card and the money remaining on the cards.

yanalaym [24]

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3 years ago

What is the length of BC in the right triangle below?

gayaneshka [121]

Hey there! :)

Answer:

C. BC = 39 units.

Step-by-step explanation:

Use the Pythagorean theorem to solve for BC. Let BC = c, AB = a, and AC = b.

c² = a² + b²

c² = 15² + 36²

Square and simplify:

c² = 225 + 1296

c² = 1521

c = √1521

c = 39 units.

Therefore:

BC = 39 units.

5 0

3 years ago

Read 2 more answers

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tent

nalin [4]

Answer:

The last one $(x=11.3, y=8)$ .

Step-by-step explanation:

1) There are three trigonometric ratios for right-angled triangles.

$sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}$

In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.

2) In this case, we are given a length and an angle to find x and y.

Let's find x first. To find x we need to use $sin()=\frac{opposite}{hypotenuse}$ .

$sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31$

Find y.

Notice that, we can use the Pythagorean Theorem $(c^2=a^2+b^2)$ to find y.

$c^2=a^2+b^2$

$11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99$

3) Round them off to the nearest tenth.

$x=11.31\\x=11.3$

$y=7.99\\y=8$

Therefore, the correct choice is the last one $(x=11.3, y=8)$ .

4 0

2 years ago